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Finding the Fourth Proportional to 10,806.44, 16,210.42 and 3,411.24

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Solution

The fourth proportional to 10,806.44, 16,210.42 and 3,411.24 is: 5,117.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.44 : 16,210.42 = 3,411.24 : x
  2. Step 2: Convert to fraction form
    10,806.44/16,210.42 = 3,411.24/x
  3. Step 3: Cross multiply
    10,806.44x = 16,210.42 × 3,411.24
  4. Step 4: Simplify right side
    10,806.44x = 55,297,633.12
  5. Step 5: Solve for x
    x = 55,297,633.12/10,806.44
  6. Step 6: Final answer
    x = 5,117.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.